Final answer:
The combined probability of Jason's coin landing on heads or tails and rolling an even number on the die is 1/4, as calculated using the product rule of probability by multiplying the individual probabilities of each independent event.
Step-by-step explanation:
The question is asking for the probability that Jason's coin will land on either heads or tails and that the die will land on an even number when he conducts his experiment. In each flip of a fair coin, the probability of landing on heads or tails is always 0.5 (50%). When rolling a fair six-sided die, the probability of rolling an even number (2, 4, or 6) is 3 out of 6 possible outcomes, which is also 0.5 (50%) because there are three even numbers out of six total numbers.
To find the combined probability of independent events, we multiply their individual probabilities together. This is known as the product rule of probability. So we calculate the combined probability: (probability of heads or tails) x (probability of rolling an even number) = 0.5 x 0.5 = 0.25 or 1/4. Thus, the correct answer is C: 1/4.